PGC2018-098308-B-I00 Modelos Biológicos de EDPs con quimiotaxis y efectos no locales ************************************* P20_01120 Nuevos retos en el estudio de procesos biológicos mediante ecuaciones en derivadas parciales ******************************* US-1381261 Diferentes perspectivas para modelos biomatemáticos: modelización, análisis y aproximación

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2023

• Some asymmetric semilinear elliptic interface problems
  Maia, Braulio B. V.; Morales-Rodrigo, Cristian; Suárez, Antonio

  J. Math. Anal. Appl. 526 (2023), no. 1, Paper No. 127212, 25 pp.

• An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model
  Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael

  J. Sci. Comput. 97 (2023), no. 1, Paper No. 18, 27 pp.

•  Bilinear optimal control of the Keller-Segel logistic model in 2D-domains
  Braz e Silva, P.; Guillén-González, F.; Perusato, C. F.; Rodríguez-Bellido, M. A.

  Appl. Math. Optim. 87 (2023), no. 3, Paper No. 55, 20 pp.

• An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
  Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael

  Numer. Algorithms 92 (2023), no. 3, 1589–1619.

• Uniform in time solutions for a chemotaxis with potential consumption model
  Corrêa Vianna Filho, André Luiz; Guillén-González, Francisco

  Nonlinear Anal. Real World Appl. 70 (2023), Paper No. 103795, 39 pp.

• Uniform in time L^{\infty}-estimates for an attraction-repulsion chemotaxis model with double saturation
  Frassu, Silvia; Rodríguez Galván, Rafael; Viglialoro, Giuseppe

  Discrete Contin. Dyn. Syst. Ser. B 28 (2023), no. 3, 1886–1904.

•  On the approximation of turbulent fluid flows by the Navier-Stokes-α equations on bounded domains
  Gutiérrez-Santacreu, Juan Vicente; Rojas-Medar, Marko Antonio

  Phys. D 448 (2023), Paper No. 133724, 16 pp.

•  Bound-preserving finite element approximations of the Keller-Segel equations
  Badia, Santiago; Bonilla, Jesús; Gutiérrez-Santacreu, Juan Vicente

  Math. Models Methods Appl. Sci. 33 (2023), no. 3, 609–642.

2022

• Optimal control of a chemotaxis equation arising in angiogenesis
  Delgado, M.; Gayte, I.; Morales-Rodrigo, C.

  Math. Eng. 4 (2022), no. 6, Paper No. 047, 25 p.

•  The Lotka-Volterra models with non-local reaction terms
  Cintra, Willian; Molina-Becerra, Mónica; Suárez, Antonio

  Commun. Pure Appl. Anal. 21 (2022), no. 11, 3865–3886.

• On the convergence rate of Galerkin approximations for the magnetohydrodynamic type equations
  Rodríguez-Bellido, María Ángeles; Rojas-Medar, Marko Antonio; Sepúlveda-Cerda, Alex

  Mat. Contemp. 51 (2022), 180–220.

•  Long-time behavior of global weak solutions for a Beris-Edwards type model of nematic liquid crystals
  Climent-Ezquerra, Blanca; Guillén-González, Francisco

  J. Math. Fluid Mech. 24 (2022), no. 4, Paper No. 106, 12 pp.

• A glioblastoma PDE-ODE model including chemotaxis and vasculature
  Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio

  ESAIM Math. Model. Numer. Anal. 56 (2022), no. 2, 407–431.

• Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
  Applied Numerical Mathematics. Volume 173, March 2022, Pages 193-210
  F. Guillén-González, M.A. Rodríguez-Bellido, D.A. Rueda-Gómez
  
  
•  An intermediate local-nonlocal eigenvalue elliptic problem
  Delgado, Manuel; Santos Júnior, Joao R.; Suárez, Antonio

  Commun. Contemp. Math. 24 (2022), no. 2, Paper No. 2050076, 21 pp.
  
  
•  The logistic equation with nonlinear advection term
  Cintra, Willian; Montenegro, Marcelo; Suárez, Antonio

  Nonlinear Anal. Real World Appl. 65 (2022), Paper No. 103503, 15 pp.

   
  
  
• A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
  Fernández Bonder, Julián; Pérez-Llanos, Mayte; Salort, Ariel M.

  Rev. Mat. Complut. 35 (2022), no. 2, 447–483.

   

2021

•   Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and a priori bounds
  Gutiérrez-Santacreu, Juan Vicente; Rodríguez-Galván, José Rafael

  Comput. Math. Appl. 85 (2021), 69–81.

•  Positive solutions for a degenerate Kirchhoff problem
  Arcoya, David; Santos Júnior, João R.; Suárez, Antonio

  Proc. Edinb. Math. Soc. (2) 64 (2021), no. 3, 675–688.

• A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes
  Advances in Computational Mathematics.  47, Article number: 87 (2021)
  F. Guillén-González, M.A. Rodríguez-Bellido, D.A. Rueda-Gómez
  
• Fluid vesicles with internal nematic order
  Physica D: Nonlinear Phenomena. 2021. Vol. 415. Núm. 132768.
  F. Guillén-González, M.A. Rodríguez-Bellido, G. Tierra
  
  
• Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method.
  Arch. Math. (Basel) 116 (2021), no. 1, 85–95. 
  S. Ciani, G.M. Figueiredo, A. Suárez
  
• A logistic type equation in ℝN with a nonlocal reaction term via bifurcation method.
  J. Math. Anal. Appl. 493 (2021), no. 1, Paper No. 124532, 19 pp. 
  

  M. Delgado, M. Molina-Becerra, A. Suárez
  
  
• Numerical Analysis for a Chemotaxis-Navier-Stokes System.
  ESAIM: Mathematical Modelling and Numerical Analysis. 2021. Vol. 55.
  A. Duarte Rodríguez, M.A. Rodríguez Bellido, D. A. Rueda Gómez, E. J. Villamizar Roa
  
  
• Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature.
  J. Math. Anal. Appl. 503 (2021), no. 2, Paper No. 125325, 29 pp.
   A. Fernández-Romero, F.. Guillén-González, A. Suárez
  
  
• Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem.
  J. Numer. Math. 29 (2021), no. 2, 103–118. 
  F. Guillén-González, M.V. Redondo-Neble, J.R. Rodríguez-Galván
  

• Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations
  Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas

  Netw. Heterog. Media 16 (2021), no. 2, 257–281.

2020

• Non-local degenerate diffusion coefficients break down the components of positive solutions.
  Adv. Nonlinear Stud. 20 (2020), no. 1, 19–30.
  M. Delgado, C. Morales-Rodrigo, J. R. Santos Júnior, A. Suárez
  
  
• On a chemotaxis model with competitive terms arising in angiogenesis.
  Discrete Contin. Dyn. Syst. Ser. S 13 (2020), no. 2,177–202. 
  M. Delgado, I. Gayte, C. Morales-Rodrigo, A. Suárez
  
  
• Some superlinear problems with nonlocal diffusion coefficient.
  J. Math. Anal. Appl. 482 (2020), no. 1,123519, 25 pp. 
  T. Figueiredo-Sousa, C. Morales-Rodrigo, A. Suárez
  
  

• Optimal bilinear control problem related to a chemo-repulsion system in 2D domains.
  ESAIM: COCV 26 (2020) 29
  F. Guillén-González, E. Mallea-Zepeda, M.A. Rodríguez-Bellido
  
  
• Existence of global-in-time weak solutions for a solidification model with convection in the liquid and rigid motion in the solid.
  SIAM J. Math. Anal. 52 (2020), no. 6, 6260–6280.
  Blanca M. Calsavara, F. Guillén-González
  
  
• On a bi-dimensional chemo-repulsion model with nonlinear production and a related optimal control problem.
  Acta Appl. Math. 170 (2020), 963–979.
  F. Guillén-González, E. Mallea-Zepeda, E.J.Villamizar-Roa
  
  
• Non-standard bifurcation approach to nonlinear elliptic problems.
  Rend. Istit. Mat. Univ. Trieste 52 (2020), 91–112. 
  W. Cintra, C. Morales-Rodrigo, A. Suárez
  
• Study of a class of generalized Schrödinger equations.
  Topol. Methods Nonlinear Anal. 56 (2020), no. 1, 173–195.
  A.V. Santos, J.R. Santos, A. Suárez
  
  
• Existence results of positive solutions for Kirchhoff type equations via bifurcation methods.
  Math. Z. 295 (2020), no. 3-4, 1143–1161.
  W. Cintra, J.R. Santos, G. Siciliano, A. Suárez
  
  
• Existence of positive solutions for prescribed mean curvature problems with nonlocal term via sub- and supersolution method.
  Math. Methods Appl. Sci. 43 (2020), no. 15, 8496–8505. 
  
  G. Figueiredo, A. Suárez
  
  

• Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature.
  Z. Angew. Math. Phys. 72 (2021), no. 3, Paper No. 97, 25 pp. 35A09 (35B40 35M10 35Q92 47J35)
  Fernández-Romero, A.; Guillén-González, F.; Suárez, A.
  
  

• Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes.
  Computers and Mathematics with Applications 80 (2020) 692–713
  F. Guillén-González, M.A. Rodríguez-Bellido, D.A. Rueda-Gómez
  
  

• Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditionally energy-stable fully discrete scheme
  Computers and Mathematics with Applications 80 (2020) 636–652
  F. Guillén-González, M.A. Rodríguez-Bellido, D.A. Rueda-Gómez
   

•  A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem
  SICON 58-3 (2020)
  F. Guillén-González, E. Mallea-Zepeda, M.A. Rodríguez-Bellido
  

• Nematic order on a deformable vesicle with anchoring effects
  Results in Applied Mathematics 8 (2020) 100102
  F. Guillén-González, M.A. Rodríguez-Bellido, G. Tierra
  
  

  
  

   2019

  
  
  • Unilateral global bifurcation for a class of quasilinear elliptic systems and applications.
    J. Differential Equations 267 (2019), no. 1,619–657.
    W. Cintra, C. Morales-Rodrigo, A. Suárez
    
  •  Nonlocal singular elliptic system arising from the amoeba-bacteria population dynamics.
    Commun. Contemp. Math. 21 (2019), no. 7,1850051, 19 pp. 
    M. Delgado, I. B. M. Duarte, A. Suárez
    
    
  •  A non-local perturbation of the logistic equation in ℝN.
    Nonlinear Anal. 187 (2019), 147–158.
    M. Delgado, M. Molina-Becerra, J. R. Santos Júnior, A. Suárez
    
    
  • Nonlocal problems arising from the birth-jump processes.
    Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 2, 447–469.
    M. Delgado, A. Suárez, A.; I. B. M. Duarte
    
    
  • Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory.
    J. Math. Anal. Appl. 469 (2019), no. 2, 897–915.
    M. Delgado, I. B. M. Duarte, A. Suárez
    
    
  •  Existence of positive solutions of an elliptic equation with local and nonlocal variable diffusion coefficient.
    Discrete Contin. Dyn. Syst. Ser. B 24 (2019), no. 8, 3689–3711.
    G. M. Figueiredo, T. S. Figueiredo-Sousa, C. Morales-Rodrigo, A. Suárez
    
    
  • Unconditionally energy stable fully discrete schemes for a chemo-repulsion model.
    Math. Comp. 88 (2019), no. 319, 2069–2099.
    F. Guillén-González, M.A. Rodríguez-Bellido, D.A. Rueda-Gómez
    
    
  • Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model.
    Z. Angew. Math. Phys. 70 (2019), no. 4, Paper No. 125, 27 pp. 
    B. Climent-Ezquerra, F. Guillén-González
    
    
  • From a cell model with active motion to a Hele-Shaw-like system: a numerical approach.
    Numer. Math. 143 (2019), no. 1, 107–137.
    F. Guillén-González, J.V. Gutiérrez-Santacreu 
   
  

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